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Finding the Fourth Proportional to 67,757.86, 101,729.89 and 34,500.27

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Solution

The fourth proportional to 67,757.86, 101,729.89 and 34,500.27 is: 51,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,757.86 : 101,729.89 = 34,500.27 : x
  2. Step 2: Convert to fraction form
    67,757.86/101,729.89 = 34,500.27/x
  3. Step 3: Cross multiply
    67,757.86x = 101,729.89 × 34,500.27
  4. Step 4: Simplify right side
    67,757.86x = 3,509,708,499.57
  5. Step 5: Solve for x
    x = 3,509,708,499.57/67,757.86
  6. Step 6: Final answer
    x = 51,797.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.